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Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

Graphs: reading a value off a curve and choosing the right form of graph

  • 2 things to know
  • AS Unit 2 and A2 Unit 4

Overview

Recall questions on reading a value off a curve and choosing the right form of graph.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

A pie chart has a 40% category and a 15% category. Calculate the sector angle of each.

Key term

How would you recognise no correlation from a scatter diagram?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Calculate the sector angles for the 40% category and the 15% category of that pie chart.

    Model answer

    The 40% sector is 0.40 × 360° = 144°, and the 15% sector is 0.15 × 360° = 54°.

  2. 2

    Condition A gives the scores 3, 5, 5, 8 and 9, and condition B gives 7, 9, 10, 11 and 13. If a bar chart compared the two means, what value would each bar show, and what is the difference?

    Model answer

    Condition A's bar would show 6 and condition B's would show 10, a difference of 4.

  3. 3

    Scores in a study run from 42 to 78. What is the problem with starting the vertical axis at 42 rather than at zero?

    Model answer

    It exaggerates the apparent differences between the bars, so the reader overestimates the size of the effect unless the break in the axis is clearly marked.

  4. 4

    What must every graph include before a reader can interpret it correctly?

    Model answer

    It needs a title stating what is displayed, both axes labelled with the variable and its units, and a suitable evenly spaced scale.

  5. 5

    Two scatter diagrams both slope upwards, but one shows a tight band of points and the other a widely dispersed one. What differs between them?

    Model answer

    The strength of the correlation differs: the tight band shows a strong positive correlation and the dispersed one a weak positive correlation, though both are positive.

  6. 6

    A line graph of recall against serial position shows 90% at position 1, 40% at position 8 and 75% at position 15. Describe the shape and state the difference in recall between positions 1 and 8.

    Model answer

    The curve is U-shaped, high at both ends and lowest in the middle, showing primacy and recency effects. Recall at position 1 is 50 percentage points higher than at position 8.

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Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

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